Due the school day after we cover the lesson in class
8-1: Hannah B. and Rachel K.
8-2: Andrew E. and Stjepan M.
8-3: Andrew E. (Bonus) and Chrisla F. (Bonus)
8-4: Andrew E. (Bonus) and Chrisla F. (Bonus)
8-5: Claire B. and Jordan S.
8-6: Matt B. and Jordan J.
8-7: Andrew E. and Tyler S.
Student Summaries: This lesson is about parallel and perpendicular lines. We found out that all parallel lines have the same slope. We also learned that the perpendicular lines have negative slopes and that when you multiply them together they always equal negative 1. Negative reciprocals are two rational numbers that have a product of -1. We also used something we already learned, slope-intercept form and point-slope form. - Rachel K. & Hannah B.
Student Summaries: In lesson 8-2 we have learned about perpendicular and parrallel lines. We have also learned how to graph them by finding the slope of the line and point slope. We then also had to solve for "b" which is a point that you start out with on the graph and then you have to find the "m" which tells you where to plot other points to make a line. - Stjepan M.
Student Summaries: In this lesson we learned how to determine if an ordered pair is a solution of a system. A solution of a system is were equations are the ordered pair that makes both equations true. System of equations are groupings of equations. A way to solve a system of equations is to graph both equations on the same coordinate plane. All of the points of intersection are solution of the system of equations, but if the lines are parallel there are no solutions. Two or more linear equations with the same two variables forms a system of equations. Using graphing utilities can be used to check or find solutions of a system of equations. - Andrew E.
Student Summaries: In lesson 8-3 we learned about substitution. Substitution is were you plug in a number for a variable. This is were x is represent by a number, and x is only a variable that is just a place-holder. x could be an expression, number, or another variable. It takes fewer steps to find the second equation for y, but it does not matter which one you solve for first. This allows us to solve systems with a new method. There are four steps in solving to solving a substitution method. First solve for one of the two equations for one of the equations. Substitute that whole equation into the of equation and solve for one of the missing variable. Substitute this new found value into one of the original equation to find the second variable. The last thing to do is to check the solution in both of the original equations, and rewrite your answer as an ordered pair. - Andrew E.
8-4: Solve Systems by Adding, Subtracting, and Multiplying
Student Summaries: Lesson 8-4 is about solving systems by adding, subtracting, and multiplying. Adding and subtracting equations in order to eliminate one variable to find the other. There are five steps with which you can use to solve a system by combining equations. First choose a variable to eliminate, then if the coefficients of the variables in both equations are already opposite you can add the equations together. But if the coefficients are not opposites, multiply each equations so the coefficients are opposite. Solve the new equation for the variable the left. Plug the value for this variable back into one of the original equations and solve for the other variable. Check the answer in the equations and rewrite the answer as an ordered p
Student Summaries: Lesson 8-5 is about Matricies and determinants, more importantly evaluateing the determinant. To evaluate u take A and multiply it by D and then take B and multiply by C and that is set equal to your DET. Then we learned what a square matrix is... it is a matrix with the same number coloms and rows. And we also learned the creamers rule...it is a method of using determinantes of matrices to solve systems of equations. Jordan S.
Table of Contents
Chapter 8: Systems of Equations and Inequalities
Preview: Chapter 8 Preview 0910.pdfWiki Summary Assignments
Due the school day after we cover the lesson in class8-1: Hannah B. and Rachel K.
8-2: Andrew E. and Stjepan M.
8-3: Andrew E. (Bonus) and Chrisla F. (Bonus)
8-4: Andrew E. (Bonus) and Chrisla F. (Bonus)
8-5: Claire B. and Jordan S.
8-6: Matt B. and Jordan J.
8-7: Andrew E. and Tyler S.
8-1: Parallel and Perpendicular Lines
Notes: Section 8-1 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: This lesson is about parallel and perpendicular lines. We found out that all parallel lines have the same slope. We also learned that the perpendicular lines have negative slopes and that when you multiply them together they always equal negative 1. Negative reciprocals are two rational numbers that have a product of -1. We also used something we already learned, slope-intercept form and point-slope form. - Rachel K. & Hannah B.
8-2: Solve Systems of Equations Graphically
Notes: Section 8-2 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: In lesson 8-2 we have learned about perpendicular and parrallel lines. We have also learned how to graph them by finding the slope of the line and point slope. We then also had to solve for "b" which is a point that you start out with on the graph and then you have to find the "m" which tells you where to plot other points to make a line. - Stjepan M.
Student Summaries: In this lesson we learned how to determine if an ordered pair is a solution of a system. A solution of a system is were equations are the ordered pair that makes both equations true. System of equations are groupings of equations. A way to solve a system of equations is to graph both equations on the same coordinate plane. All of the points of intersection are solution of the system of equations, but if the lines are parallel there are no solutions. Two or more linear equations with the same two variables forms a system of equations. Using graphing utilities can be used to check or find solutions of a system of equations. - Andrew E.
8-3: Solve Systems by Substitution
Notes: Section 8-3 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: In lesson 8-3 we learned about substitution. Substitution is were you plug in a number for a variable. This is were x is represent by a number, and x is only a variable that is just a place-holder. x could be an expression, number, or another variable. It takes fewer steps to find the second equation for y, but it does not matter which one you solve for first. This allows us to solve systems with a new method. There are four steps in solving to solving a substitution method. First solve for one of the two equations for one of the equations. Substitute that whole equation into the of equation and solve for one of the missing variable. Substitute this new found value into one of the original equation to find the second variable. The last thing to do is to check the solution in both of the original equations, and rewrite your answer as an ordered pair. - Andrew E.
8-4: Solve Systems by Adding, Subtracting, and Multiplying
Notes: Section 8-4 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: Lesson 8-4 is about solving systems by adding, subtracting, and multiplying. Adding and subtracting equations in order to eliminate one variable to find the other. There are five steps with which you can use to solve a system by combining equations. First choose a variable to eliminate, then if the coefficients of the variables in both equations are already opposite you can add the equations together. But if the coefficients are not opposites, multiply each equations so the coefficients are opposite. Solve the new equation for the variable the left. Plug the value for this variable back into one of the original equations and solve for the other variable. Check the answer in the equations and rewrite the answer as an ordered p
8-5: Matrices and Determinants
Notes: Section 8-5 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: Lesson 8-5 is about Matricies and determinants, more importantly evaluateing the determinant. To evaluate u take A and multiply it by D and then take B and multiply by C and that is set equal to your DET. Then we learned what a square matrix is... it is a matrix with the same number coloms and rows. And we also learned the creamers rule...it is a method of using determinantes of matrices to solve systems of equations. Jordan S.
8-6: Directed Graphs
Notes: Section 8-6 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
8-7: Systems of Inequalities
Notes: Section 8-7 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
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